New criteria for generalized diagonally dominant matrices

Abstract

In this paper, we give new necessary and sufficient conditions for an n × n matrix to be generalized diagonally dominant and propose those as practical criteria for the generalized diagonally dominant matrix. A numerical example shows their efficiency.

Keywords:

• Linear systems
• generalized diagonally dominant matrix
• H-matrix

C.R. Categories:

• G.1.3

^∗Corresponding author.

^∗Corresponding author.

Notes

^∗Corresponding author.

Additional information

Notes on contributors

Emiko Ishiwata

a

Masunori Harada

b

Hiroshi Niki

b